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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 38501. |
Write the first four terms of AP when a=5 d=3 |
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Answer» 8,11,14,17..... 0 8,11,14,17 Next tems are 8,11,14,17....... |
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| 38502. |
1/2x+1/3y=2,1/3x+1/2y=13/6 |
| Answer» {tex}{\\frac{1}{{2x}} + \\frac{1}{{3y}} = 2}{/tex} ... (1){tex}\\frac{1}{{3x}} + \\frac{1}{{2y}} = \\frac{{13}}{6}{/tex} ...(2)Let {tex}\\frac{1}{x}{/tex}= p and {tex}\\frac{1}{y}{/tex}= qPutting this in equation (1) and (2), we get{tex}\\frac{p}{2} + \\frac{q}{3} = 2{/tex}\xa0and\xa0{tex}\\;\\frac{p}{3} + \\frac{q}{2} = \\frac{{13}}{6}{/tex}{tex}\\Rightarrow{/tex}\xa03p + 2q = 12 and 6(2p +3q) = 13 (6){tex}\\Rightarrow{/tex}\xa03p + 2q = 12 and 2p + 3q = 13{tex}\\Rightarrow{/tex}\xa03p + 2q - 12 = 0 .................. (3) and2p + 3q - 13 = 0 ................. (4){tex}\\frac{p}{{2( - 13) - 3( - 12)}} = \\frac{q}{{( - 12)2 - ( - 13)3}}{/tex}{tex} = \\frac{1}{{3 \\times 3 - 2 \\times 2}}{/tex}{tex}\\Rightarrow \\frac{p}{{ - 26 + 36}} = \\frac{q}{{ - 24 + 39}} = \\frac{1}{{9 - 4}}{/tex}{tex} \\Rightarrow \\frac{p}{{10}} = \\frac{q}{{15}} = \\frac{1}{5} \\Rightarrow \\frac{p}{{10}} = \\frac{1}{5}\\,{\\text{and}}\\,\\frac{q}{{15}} = \\frac{1}{5}{/tex}{tex}\\Rightarrow{/tex}\xa0p = 2 and q = 3But {tex}\\frac{1}{x}{/tex}\xa0= p and {tex}\\frac{1}{y}{/tex}\xa0= qPutting value of p and q in this we get,x = {tex}\\frac{1}{2}{/tex}and y = {tex}\\frac{1}{2}{/tex} | |
| 38503. |
Determine the domain and range of the relation R defined by R={x, x+5):x€(0,1,2,3,4,5)} |
| Answer» Here R = {(x, x + 5): {tex}x \\in {/tex}(0, 1, 2, 3, 4, 5)}= {(a, b): a = 0, 1, 2,3, 4, 5}Now a = x and b = x + 5Putting a = 0, 1, 2, 3, 4, 5 we get b = 5, 6, 7, 8, 9, 10{tex}\\therefore {/tex}\xa0Domain of R = {0, 1, 2, 3, 4, 5}Range of R = {5, 6, 7, 8, 9, 10} | |
| 38504. |
Hcf of 60 .290 division lemma |
| Answer» 40 | |
| 38505. |
Math graph |
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| 38506. |
Sin 30°+ tan 45°- cosec 60°/sec 30°+cos 60°+cot 45° |
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| 38507. |
Given that HCF (306,675)=9 find LCM of (306,675) |
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Answer» 22950 HCF(306,675)=9LCM(306,675)=? HCF×LCM=Product of no. 9×LCM =306×675LCM=306×675=206550206550 ÷9=22950LCM OF (306,675)=22950. 22950 |
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| 38508. |
X square - 2√5x+3 |
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| 38509. |
( a cube -b cube)= |
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Answer» a^3-b^3-3ab(a-b a3-b3 = a3-3a2b+3ab2-b3 a3 + b3 + 3ab(a+b) |
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| 38510. |
Find the greatest number of 6digit exactly divisible by 24,15,36 |
| Answer» 999720 | |
| 38511. |
Son*sin+1__1+tan |
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| 38512. |
9969669670688acd35479 |
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| 38513. |
If \'h\' is the H.C.F.of 609 and 957.Find x and y satisfying h=609x+957y |
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Answer» You can download rd sharma aap I don\'t have RD Sharma can u plz solve this Check rd sharma |
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| 38514. |
Give 2example of pairSimilar pairNon similar fig |
| Answer» Yaha pe figure kaise dale? | |
| 38515. |
solve (5-2√6)x²-³+(5-2√6)x²-³ =10 |
| Answer» Could you please write question clearly plz. | |
| 38516. |
Show that 3528645695 is a composite number |
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Answer» Sorry , i don\'t know Please answer |
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| 38517. |
I want answer of papers of last year |
| Answer» Which papers | |
| 38518. |
What is algebraic expression? |
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Answer» The expression in which constant& variable combine each other with mathematical operation like add subt multiply and div. The expression which includes some variable like X and Y |
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| 38519. |
How is Indo China war formed |
| Answer» 1962 | |
| 38520. |
Find k for which the system x + 2y = 3 and 5x + ky + 7 = 0 is inconsistent. |
| Answer» For solution the identity will use having no solution that is becoz only then it will inconsistent(a1/a2 = b1/b2 but not equal to c1/c2) | |
| 38521. |
Find HCF of www 342 |
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| 38522. |
If 10 +6 |
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Answer» 16 Yup the questio is 18 The question is incomplete........ |
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| 38523. |
From where can i get solutions of r.s.agarval maths 10thTell me please |
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Answer» Hello priya First of all,download the app of ncert solutions,then you will find that here are the books of maths are ncert,r.s agarwal, rd sharma,ncert exampler problems,thus selecting any one of these books,you will get the solutions.ok,if you face any problem be contact again. |
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| 38524. |
12×2 |
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Answer» 29-2+2-5 24 24 24 |
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| 38525. |
Cos45degree--------------------- Sec30degree+cosec30degree |
| Answer» 1by root 2 | |
| 38526. |
X2+5x+6 |
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| 38527. |
Prove that the product of two consecutive numbers is divisible by 2 |
| Answer» Let n-1 and n be consecutive positive integers,Let P be their productThen {tex}\\style{font-family:Arial}{\\style{font-size:12px}{\\mathrm n(\\mathrm n-1)=\\mathrm n^2-1\\;.................(1)}}{/tex}We know that any positive integers is of the form 2q or 2q + 1, where q is a positive integerCase I: When n = 2q, thenP=n2\xa0- n = (2q)2\xa0- 2q = 4q2\xa0- 2q = 2q(2q - 1)-----(2)Case II: When n = 2q + 1, thenP=n2\xa0- n = (2q + 1)2\xa0- (2q + 1)= 4q2\xa0+ 4q + 1 - 2q - 1= 4q2\xa0+ 2qP = 2q(2q + 1)..........(3)From (2) and (3) we conclude that the product of n-1 and n is divisible by 2 | |
| 38528. |
Solve for x: 1+2+3+......+=287 |
| Answer» Hello lakshita kataria i have your answer | |
| 38529. |
Find the distance of point 4,7 from the ordinate |
| Answer» Points are (4, 7) and (0, 7)Distance {tex}= \\sqrt { ( 0 - 4 ) ^ { 2 } + ( 7 - 7 ) ^ { 2 } }{/tex}=\xa0{tex}\\sqrt { 4 ^ { 2 } + 0 } = \\sqrt { 16 }{/tex}\xa0= 4 units | |
| 38530. |
Find the greatest number that will divide 445,582 and 669 leaving reminder 4,5 and respectively |
| Answer» First divide the remainders 4,5 from respective numbers and then find their hcf ,and that will be ur answer | |
| 38531. |
How can we get the remain three zeroes if one zero is given x4+x3+x2+x. |
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| 38532. |
What is algorithm theorm |
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Answer» Example255 and 135255=135*1+90135=90*1+4590=45*2+0H.C.F IS 45 ANS It is an euclid division algorithm where a and b are positive integers (a>b) then euclid division algorithm is an efficient method for completing the HCF using division lemma |
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| 38533. |
if two zeroes of the polynomial x^4-6x^3-26x^2+138x-35are2+-root3,find other zeroes. |
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| 38534. |
use euclids division lemma, find hcf of 504and 476 |
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Answer» a=bq+ra=504,b=476504=476×1+28Now,a=476,b=28476=28×17+0HCF=28 504=476*1+28476=28*7+0 |
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| 38535. |
Solve for X and y7x-2y/xy=5;8x+7y/xy=15 |
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| 38536. |
Find the probability |
| Answer» Of what | |
| 38537. |
Show graphically that the system of equation 3x-y=5,6x-2y=10 has infinitely many solutions |
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| 38538. |
Solve by cross multiplication method:?3+ ?4= 1, 5?6-?3 = -7 |
| Answer» X. Y. 1. 4. -1. 3. 4 -3. 7. 56. -3 ~ x. = y. = 1(4*7) - (-1*-3) (-1*56)-(3*7). (3*-3)-(4*56) X. = Y. = 1 28- 3 -56-21. -9-224 X. = Y. = 1 25 - 77. -233 = x= 25/-233 y=-77/-233 | |
| 38539. |
Write down the following real no in the form of pby q :(a)0.36 bar (b)33.3bar |
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Answer» Chodo hard hai Lrt the number be x.Then x=0.36bar. -A 10x=3.6bar-B 100x=36.0bar -CSobtract A from C100x - 10x=36.0 - 0.3690x= 35.67x=35.67/90 Hii Hlo devansh ......r u online??? |
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| 38540. |
Show that 5 root 6 is an irrational number |
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Answer» *Anish jha*Bhai tu itna he intelligent hai to tu teacher ban jaa...Aur zara khud shut ho ja uske baad kisi aur ko krna?? Waise hame sabki help karni chahiye itna ghamand accha nahi hota hai ki kisi ko rula do Hii Sakshi Agarwal , sorry my first solution is wrong and you I again solved that question which is absolutely correct Let 5√6 is an rational no. Where a and b are integers and b is not equal to 0 such that 5√6=a/bThen we get √6=a/5b Since, 5,a,and b are integers a/5b is rational so √6 is rational. This contradiction has arisen due to our wrong assumption . So we conclude that 5√6 is iraational no. And 5√6 =a/b Sorry where a and b are integers and b is not equal to 0 Let 5√6 is an rational no. Where p and q are integers and q is not equal to 0 such that 5√6=p/q we get √2=a/3bSince 3,a,b are integers , a/3b is rational,and so √2 is rational.But this contradicts fact that √2 is irrational. So, we conclude that 5√6 is irrational no. 5√6=p/q ;q is not equal to 0 &P&Q are coprime with each otherP/Q=5√7P-7/q=√5an rational number will never be equal to irrational number so 5√6 is irrational number Just shut your mouth agar itna bhi ni ata to ninth class me jake Beth ja |
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| 38541. |
2x+3y=10X-y=2 |
| Answer» Multiply by 3 in iiNow add both We get 5x=16X=16/5Now, 16/5-y=2Y=16/5-2Y=6/5 | |
| 38542. |
Calculate the area of triangle pqr ,where OP=6cm,OR=8cm,QR=26cm |
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| 38543. |
Find the root of equation 3x 2√6 + 2 = 0 |
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| 38544. |
Write the sum of zero\'s of 2xsquae -8 |
| Answer» _2+2=0 | |
| 38545. |
Prove that root 1- sin A upon 1-cosA =1upon 2 root 2 |
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| 38546. |
If sin a is equal to 8 by 17 find other trigonometric ratio of angle A |
| Answer» Cos a=B/Hsin a=8/17=k=P/HB=√H^2-P^2B=√17^2-8^2B=√289-64B=√225B=15Cos a=B/H =15/17Tan a=P/B =8/15Cosec a=H/P =17/8Cos a=H/B =17/15Cot a=B/P =15/8. | |
| 38547. |
Which term of the A.P.3,7,11,15,......is 75? |
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Answer» 19 19 term 19 |
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| 38548. |
25th term of the series 1,4,7,10.....is |
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Answer» 73 73 73 |
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| 38549. |
Can (x-7) be the remained on division of a polynomial p(x) by (7x+2)? Justify your answer |
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Answer» But how to slove this question But how to alive this question Dividend equal to divisior in to quotient plus remainder. Polynomial Tell what is p(x) |
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| 38550. |
What is 2x2 |
| Answer» 4 , is this type of question suit for student of class 10. | |